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Finding the Third Proportional to 223,012.13 and 359,083.69

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Solution

The third proportional to 223,012.13 and 359,083.69 is: 578,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,012.13 : 359,083.69 = 359,083.69 : x
  2. Step 2: Convert to fraction form
    223,012.13/359,083.69 = 359,083.69/x
  3. Step 3: Cross multiply
    223,012.13x = 359,083.69 × 359,083.69
  4. Step 4: Simplify right side
    223,012.13x = 128,941,094,628.60
  5. Step 5: Solve for x
    x = 128,941,094,628.60/223,012.13
  6. Step 6: Final answer
    x = 578,179.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.